Note: Simple argument for emergent anisotropic stress correlations in disordered solids

Edan Lerner

doi:10.1063/5.0034728

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arXiv · 2010.08420

Note: Simple argument for emergent anisotropic stress correlations in disordered solids

Edan Lerner

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Abstract

It is now well-established that mechanical equilibrium in athermal disordered solids gives rise to anisotropic spatial correlations of the coarse-grained stress field that decay in space as $1/r^d$, where $r$ is the distance from the origin, and $d$ denotes the spatial dimension. In this note we present a simple, geometry based argument for the scaling form of the emergent spatial correlations of the stress field in disordered solids.

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Edan Lerner. 2020-10-08. Note: Simple argument for emergent anisotropic stress correlations in disordered solids. https://doi.org/10.1063/5.0034728

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